GCD of 902, 472, 642, 804 Calculator

Given Input numbers are 902, 472, 642, 804

In the factoring method, we have to find the divisors of all numbers

Divisors of 902 :

The positive integer divisors of 902 that completely divides 902 are.

1, 2, 11, 22, 41, 82, 451, 902

Divisors of 472 :

The positive integer divisors of 472 that completely divides 472 are.

1, 2, 4, 8, 59, 118, 236, 472

Divisors of 642 :

The positive integer divisors of 642 that completely divides 642 are.

1, 2, 3, 6, 107, 214, 321, 642

Divisors of 804 :

The positive integer divisors of 804 that completely divides 804 are.

1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804

GCD of numbers is the greatest common divisor

So, the GCD (902, 472, 642, 804) = 2.

Given numbers are 902, 472, 642, 804

The list of prime factors of all numbers are

Prime factors of 902 are 2 x 11 x 41

Prime factors of 472 are 2 x 2 x 2 x 59

Prime factors of 642 are 2 x 3 x 107

Prime factors of 804 are 2 x 2 x 3 x 67

The highest common occurrence is 2¹

Therefore, GCD of 902, 472, 642, 804 is 2.

Given numbers are 902, 472, 642, 804

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(902, 472) = 212872

GCD(902, 472) = ( 902 x 472 ) / 212872

= 902 / 472

= 902

Step2:

LCM(2, 642) = 642

GCD(2, 642) = ( 2 x 642 ) / 642

= 2 / 642

= 2

Step3:

LCM(2, 804) = 804

GCD(2, 804) = ( 2 x 804 ) / 804

= 2 / 804

= 2

So, Greatest Common Divisor of 902, 472, 642, 804 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 475, 532, 103, 674
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• GCD of 543, 976, 914, 179
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• GCD of 656, 936, 564, 868

Given numbers are 902, 472, 642, 804
The greatest common divisor of numbers 902, 472, 642, 804 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 902, 472, 642, 804 is 2.

1. What is the GCD of 902, 472, 642, 804?

GCD of given numbers 902, 472, 642, 804 is 2

2. How to calculate the greatest common divisor of 902, 472, 642, 804?

We can find the highest common divisor of 902, 472, 642, 804 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 902, 472, 642, 804 i.e 2.

3. How can I use the GCD of 902, 472, 642, 804Calculator?

Out the numbers 902, 472, 642, 804 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.